An agriculture publication claims that the population mean of the birth weights for all Nubian goats is 2.76 kg . A veterinary service has hired you to test that claim. To do so, you select a random sample of 35 Nubian goats and record the birth weights. Assume it is known that the population standard deviation of the birth weights of Nubian goats is 1.36 kg .   Based on your sample, follow the steps below to construct a 99% confidence interval for the population mean of the birth weights for all Nubian goats. Then state whether the confidence interval you construct contradicts the publication's claim. (If necessary, consult a list of formulas.)   (a)Click on "Take Sample" to see the results from your random sample of 35 Nubian goats.   Take Sample Number of goats Sample mean Sample standard deviation 35 4.62 1.27   Population standard deviation 1.36

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